What is the d/(dt)(cos(t)-tsin(t)) ?

The d/(dt)(cos(t)-tsin(t)) is -2sin(t)-tcos(t)

What is the first d/(dt)(cos(t)-tsin(t)) ?

The first d/(dt)(cos(t)-tsin(t)) is -2sin(t)-tcos(t)

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\frac{d}{d t} (cos (t) - t sin (t))

- 2 sin (t) - t cos (t)

Solution steps

\frac{d}{d t} (cos (t) - t sin (t))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d t} (cos (t)) - \frac{d}{d t} (t sin (t))

\frac{d}{d t} (cos (t)) = - sin (t)

\frac{d}{d t} (t sin (t)) = sin (t) + t cos (t)

= - sin (t) - (sin (t) + t cos (t))

Simplify

= - 2 sin (t) - t cos (t)

cos (sin (tan (3 x)))

\frac{2}{5 ( s + 1 ) ^{2} - 80}

x \to 2 lim (\frac{1 - x ^{2}}{1 - x})

x \to - 3 + lim (x x + 3)

What is the d/(dt)(cos(t)-tsin(t)) ?
The d/(dt)(cos(t)-tsin(t)) is -2sin(t)-tcos(t)
What is the first d/(dt)(cos(t)-tsin(t)) ?
The first d/(dt)(cos(t)-tsin(t)) is -2sin(t)-tcos(t)